二维向列型液晶的 I－N 相变及纹影织构模拟

摘要

The isotropic-nematic ( I-N) phase transition of nematic liquid crystal has been found to be a second-order one in two-dimensional case and the transformation point should be Nωφ=2, which could be di-rectly derived from the Landau -de Gennes free energy about the liquid crystal .Under the assumption of single Frank constant of distortion energy for the liquid crystal , the simulated schlieren texture has also be obtaind by nu-merically solving the Ginzberg -Landau equation of liquid crystal with cell dynamic scheme .%从液晶的Landau－de Gennes自由能出发进行推导，发现在二维情况下向列型液晶的I－N相变为二级相变，且相变点为N wf ＝2；在液晶畸变自由能单一 Frank 常数假设下，利用元胞动力学方法对二维向列型液晶的 Ginzberg －Landau方程进行计算机模拟，得到了其纹影织构图样。